Pith Number

pith:HXEOIBKL

pith:2011:HXEOIBKLXUN2SBU4LK32RBYFPQ

not attested not anchored not stored refs pending

Global hypoelliptic estimates for a linear model of non-cutoff Boltzmann equation

Wei-Xi Li

arxiv:1106.0918 v1 · 2011-06-05 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HXEOIBKLXUN2SBU4LK32RBYFPQ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:20:37.001636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3dc8e4054bbd1ba9069c5ab7a887057c2d56fb127dc0da21217bccbca69eab07

Aliases

arxiv: 1106.0918 · arxiv_version: 1106.0918v1 · doi: 10.48550/arxiv.1106.0918 · pith_short_12: HXEOIBKLXUN2 · pith_short_16: HXEOIBKLXUN2SBU4 · pith_short_8: HXEOIBKL

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/HXEOIBKLXUN2SBU4LK32RBYFPQ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 3dc8e4054bbd1ba9069c5ab7a887057c2d56fb127dc0da21217bccbca69eab07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe13a939bd592a5e4431c952f6d456e5fd7177cd42c487fa5217b7533a23fed4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-06-05T17:36:23Z",
    "title_canon_sha256": "7fa3841ee19f8ec5176aea5be5cf8dc094c67bfa0d116b496d8f5264b82f84ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0918",
    "kind": "arxiv",
    "version": 1
  }
}